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Quantum Correlations of Few Dipolar Bosons in a Double-Well Trap

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Abstract

We consider N interacting dipolar bosonic atoms at zero temperature in a double-well potential. This system is described by the two-space-mode extended Bose–Hubbard Hamiltonian which includes (in addition to the familiar BH terms) the nearest-neighbor interaction, correlated hopping and bosonic-pair hopping. For systems with \(N=2\) and \(N=3\) particles, we calculate analytically both the ground state and the Fisher information, the coherence visibility, and the entanglement entropy that characterize the correlations of the lowest energy state. The structure of the ground state crucially depends on the correlated hopping \(K_\mathrm{c}\). On one hand, we find that this process makes possible the occurrence of Schrödinger-cat states even if the onsite interatomic attraction is not strong enough to guarantee the formation of such states. On the other hand in the presence of a strong onsite attraction, sufficiently large values of \(|K_\mathrm{c}|\) destroy the cat-like state in favor of a delocalized atomic coherent state.

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Acknowledgments

GM and LS acknowledge Ministero dell’Istruzione, della Ricerca, e dell’Università (MIUR) for the support provided by PRIN Grant No. 2010LLKJBX.

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Authors and Affiliations

  1. Dipartimento di Fisica e Astronomia “Galileo Galilei”, Università di Padova, Via F. Marzolo 8, 35131, Padua, Italy

    Michele Pizzardo, Giovanni Mazzarella & Luca Salasnich

  2. CNISM, Consorzio Interuniversitario per le Scienze Fisiche della Materia, Via F. Marzolo 8, 35131, Padua, Italy

    Giovanni Mazzarella & Luca Salasnich

  3. Istituto Nazionale di Ottica (INO) del Consiglio Nazionale delle Ricerche (CNR), Sezione di Sesto Fiorentino, Via Nello Carrara 1, 50019, Sesto Fiorentino, Italy

    Luca Salasnich

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  1. Michele Pizzardo
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  3. Luca Salasnich
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Correspondence to Giovanni Mazzarella.

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Pizzardo, M., Mazzarella, G. & Salasnich, L. Quantum Correlations of Few Dipolar Bosons in a Double-Well Trap. J Low Temp Phys 185, 59–78 (2016). https://doi.org/10.1007/s10909-016-1616-7

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  • DOI: https://doi.org/10.1007/s10909-016-1616-7

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